Finding the Third Proportional to 219,938 and 470,980
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Solution
The third proportional to 219,938 and 470,980 is: 1,008,566.78
Step by Step Solution
- Step 1: Write the proportion equation
219,938 : 470,980 = 470,980 : x - Step 2: Convert to fraction form
219,938/470,980 = 470,980/x - Step 3: Cross multiply
219,938x = 470,980 × 470,980 - Step 4: Simplify right side
219,938x = 221,822,160,400 - Step 5: Solve for x
x = 221,822,160,400/219,938 - Step 6: Final answer
x = 1,008,566.78
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.